Question

In triangle ABC, A - P - B and A - Q - C such that segment PQ|| side BC and segment PQ divides triangle ABC in two parts whose areas are equal. find the value of BP/AB

Answer 1

we know that,
AB=AC
AP=AQ
angle P = angle B
angle Q = angle C
so triangle APQ similar to triangle ABC
$\frac{bp}{ab} = \frac{cq}{ac}$

Answer 2

we know that,

AB=AC

AP=AQ

angle P = angle B

angle Q = angle C

so triangle APQ similar to triangle ABC

$\frac{bp}{ab} = \frac{cq}{ac}$